| HOPF ALGEBRAIC APPROACH TO THE n LINEARLY RECURSIVE SEQUENCES |
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| 作者姓名： | Liang Gui |
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| 作者单位： | Institute of Mathematics，Fudan University，Shanghai 200433，China |
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| 摘 要： | ＨＯＰＦＡＬＧＥＢＲＡＩＣＡＰＰＲＯＡＣＨＴＯＴＨＥｎＬＩＮＥＡＲＬＹＲＥＣＵＲＳＩＶＥＳＥＱＵＥＮＣＥＳ￥ＬＩＡＮＧＧＵＩＡｂｓｔｒａｃｔ：Ｉｔｉｓｐｒｏｖｅｄｔｈａｔａｌｉｎｅａｒｌｙｒｅｃｕｒｓｉｖｅｓｅｑｕｅｎｃｅｏｆｎｉｎｄｉｃｅｓｏｖｅｒ...
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| 关 键 词： | 霍普夫代数分支 线性回归序列 回归相关 上代数 |
| 收稿时间： | 1992/2/27 0:00:00 |
| 修稿时间： | 1992/10/15 0:00:00 |
HOPF ALGEBRAIC APPROACH TO THE n LINEARLY RECURSIVE SEQUENCES |
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| Liang Gui.HOPF ALGEBRAIC APPROACH TO THE n LINEARLY RECURSIVE SEQUENCES[J].Chinese Annals of Mathematics,Series B,1994,15(2):141-146. |
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| Authors: | Liang Gui |
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| Institution: | InstituteofMathemation,FudanUniversity,Shanghai200433,China |
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| Abstract: | It is proved that a linearly recursive sequence of $n$
indices over field $F$ $(n \ge 1)$ is automatically a product of $n$
linearly recursive sequences of $1$-index over $F$ by the theory of Hopf
algebras. By the way, the correspondence between the set
of linearly recursive sequences of $1$-index and $FX]^\circ$ is
generalized to the
case of $n$-index. |
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| Keywords: | Hopf algebra Linearly recursive sequence Recursive relation |
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